Résumé: The goal of this chapter is to design robust observers for fractional dynamic continuous-time linear
systems described by pseudo state space representation. The fractional observer is guaranteed to compute a
domain enclosing all the system pseudo states that are consistent with the model, the disturbances and the
measurement noise realizations. Uncertainties on the initial pseudo state and noises are propagated in a
reliable way to estimate the bounds of the fractional pseudo state. Only the bounds of the uncertainties are
used and no additional assumptions about their stationarity or ergodicity are taken into account. A
fractional observer is firstly built for a particular case where the estimation error can be designed to be
positive. Then, the general case is investigated through changes of coordinates. Some numerical
simulations illustrate the proposed methodology.

BibTeX

@inbook {

RA17,

title

=

"{Positive Systems, Lecture Notes in Control and Information Sciences}",